dark6kuromi
dark6kuromi dark6kuromi
  • 02-04-2022
  • Mathematics
contestada

Given that cosθ= - 21/29 and the angle θ terminates in quadrant II, then what is the value of tan θ

Given that cosθ 2129 and the angle θ terminates in quadrant II then what is the value of tan θ class=

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Medunno13
Medunno13 Medunno13
  • 02-04-2022

Answer: -20/21

Step-by-step explanation:

Using the Pythagorean identity, we can get that the sine of angle theta is [tex]\pm 20/29[/tex].

But since theta terminates in Quadrant II, the sine of angle theta is positive, meaning that it has a value of 20/29.

Now, since tan = sin/cos, tan theta = (20/29)/(-21/29) = -20/21

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